If 2a-b:2a+b=1:2, find the value of a:b.

a:b = 3:2

Step-by-step explanation:

You are given:

 2a - b        1

=

2a + b        2

Then, through cross-multiplication, we get:

4a - 2b = 2a + b, or

2a = 3b

We want the value of the ratio a:b.  To obtain this, divide both sides by b, which results in

  2a

= 3

    b

Finally, we divide both sides by 2, obtaining the desired ratio:

a:b = 3:2

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.